5th grade geometry

Example

A box is 6 ft long, 5 ft wide and 3 ft high. What is its volume, in ft³?

1. 6 × 5 = 30
2. 30 × 3 = 90 ft³

Answer: 90

Example

A triangle has exactly two sides equal. What type of triangle is it?

1. It is isosceles.

Answer: isosceles

Example

Four angles meet at a point: 101°, 58°, 94° and x. Find x.

1. 101 + 58 + 94 = 253
2. 360 − 253 = 107
3. x = 107°

Answer: 107

Example

Two straight lines cross. One of the angles is 24°. What is the angle vertically opposite it?

1. 24°

Answer: 24

Example

Maya says each angle in an equilateral triangle is 90°. Spot the mistake. What is each angle really?

1. 180 ÷ 3 = 60°

Answer: 60

Example

A quadrilateral has angles of 70°, 75°, 67° and x. Find x.

1. 360 − 70 − 75 − 67 = 148
2. x = 148°

Answer: 148

Example

An equilateral triangle has a perimeter of 24 cm. How long is each side?

1. 24 ÷ 3 = 8
2. 8 cm

Answer: 8

Example

True or false? Every trapezium has two pairs of parallel sides.

1. false

Answer: false

Example

What is the name for the length that is half the diameter?

1. radius

Answer: radius

Example

A net is made of 4 equal triangles. Which 3D shape does it fold into?

1. tetrahedron (triangular pyramid)

Answer: tetrahedron (triangular pyramid)

Example

Isla builds a cuboid from unit cubes: 3 cubes long, 4 cubes wide and 2 cubes tall. How many cubes does Isla use?

1. 3 × 4 × 2 = 24

Answer: 24

Example

A cuboid has a volume of 50 cm³. Its length is 5 cm and its width is 2 cm. What is its height?

1. 5 × 2 = 10
2. 50 ÷ 10 = 5
3. 5 cm

Answer: 5

Example

A shape is made by joining two cuboids. One is 4 cm × 4 cm × 2 cm and the other is 3 cm × 3 cm × 1 cm. What is the total volume?

1. 4 × 4 × 2 = 32
2. 3 × 3 × 1 = 9
3. 32 + 9 = 41 cm³

Answer: 41

Example

An L-shape is made from a big rectangle, 14 m by 5 m, with a small rectangle, 4 m by 3 m, cut from one corner. What is its area?

1. 14 × 5 = 70
2. 4 × 3 = 12
3. 70 − 12 = 58 m²

Answer: 58